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oksano4ka [1.4K]
3 years ago
6

Which expression is irrational?

Mathematics
2 answers:
Nadya [2.5K]3 years ago
6 0
The answer is D. Because the sq. rt. of 1 is 1, the sq. rt. of 9 is 3, and the sq. rt. of 25 is 5. When you take the sq. rt. of 50 you get 7.071067.
tresset_1 [31]3 years ago
6 0
When we say that a number is irrational, it is when this number consists of a never ending digits to the right of the decimal point. In this case, let us check the given values above. A. square root of 1 is still 1. B. square root of 9 is 3. C. square root of 25 is 5. D. square root of 50 is 7.07106781187. Therefore, the option that is irrational is option D. Hope this answer helps.
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a cardboard shipping container is 2 feet long, 3 feet wide and 3 2/3 feet high. what is the volume of the container?
vekshin1

Answer:

2926cm

Step-by-step explanation:

I hope it hepls you

3 0
3 years ago
Compare each of the functions shown below: f(x) sine curve with points at 0, 0 and pi over 2, 4 and pi, 0 and 3 pi over 2, negat
soldi70 [24.7K]
F(x) sine curve with points at 0, 0 and pi over 2, 4 and pi, 0 and 3 pi over 2, negative 4 and 2 pi,0

g(x) x y 0 0 pi over 2 2 π 0 3 pi over 2 −2 2π 0

h(x) = 2 sin x + 3 Which function has the greatest rate of change on the interval from x = 0 to x = pi over 2

The change of f(x) from 0 to π/2 is 4
The change of g(x) from 0 to π/2 is 2
We can rule out g(x). 

As for h(x):
h(0) = 2 sin(0) + 3 = 3
h(π/2) = 2(sin(π/2)) + 3 = 2 + 3 = 5
Change of h(x) from 0 to π/2 is 2. 

Greatest change between 0 and π/2 is found with f(x)
7 0
3 years ago
Suppose a random variable X has the following probability density function:f(x)=1/x, 1≤x≤C, or f(x)=0 otherwise a) what must the
Sergeeva-Olga [200]

Answer:

a)  C=e^1=e

b) P(X

c) E(X) =\int_{1}^e x \frac{1}{x} dx =x \Big|_1^e \ =e-1

E(X^2) =\int_{1}^e x^2 \frac{1}{x} dx =\frac{x^2}{2} \Big|_1^e \ =\frac{1}{2}(e^2 -1)

Var(X)=E(X^2)-[E(X)]^2= \frac{1}{2}(e^2 -1) -(e-1)^2 = 0.242

Step-by-step explanation:

a) what must the value of C be so that f(x) is a probability density function?

In order to be a probability function we need this condition:

\int_{1}^C \frac{1}{x} dx =1

And solving the left part of the integral we have:

ln(x) \Big|_1^C \ =1

ln(C)-ln(1)=1, so then C=e^1=e

b) find P(X<2)

We can find this probability on this way using the density function:

P(X

c) find E(X) and Var(X)

We can find the expected value on this way:

E(X) =\int_{1}^e x \frac{1}{x} dx =x \Big|_1^e \ =e-1

In order to find the Var(X) we need to find the second moment given by:

E(X^2) =\int_{1}^e x^2 \frac{1}{x} dx =\frac{x^2}{2} \Big|_1^e \ =\frac{1}{2}(e^2 -1)

And now we can use the following definition:

Var(X)=E(X^2)-[E(X)]^2= \frac{1}{2}(e^2 -1) -(e-1)^2 = 0.242

5 0
4 years ago
The distance between City A and City B is 250 miles. A length of 1.4 feet represents this distance
Serjik [45]

Answer:

2.66 miles hope it helps

8 0
3 years ago
Find the surface area of the cylinder. Round your answer to the nearest tenth. ​
Tanzania [10]

the surface area of the cylinder is 0.5mm

3 0
3 years ago
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